38277662940 has 240 divisors, whose sum is σ = 132160865760. Its totient is φ = 9196830720.

The previous prime is 38277662911. The next prime is 38277662953. The reversal of 38277662940 is 4926677283.

38277662940 is a `hidden beast` number, since 3 + 8 + 2 + 7 + 7 + 6 + 629 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2004156 + ... + 2023164.

It is an arithmetic number, because the mean of its divisors is an integer number (550670274).

Almost surely, 2^38277662940 is an apocalyptic number.

38277662940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38277662940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66080432880).

38277662940 is an abundant number, since it is smaller than the sum of its proper divisors (93883202820).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38277662940 is a wasteful number, since it uses less digits than its factorization.

38277662940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19154 (or 19143 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 38277662940 in words is "thirty-eight billion, two hundred seventy-seven million, six hundred sixty-two thousand, nine hundred forty".